Course - Functional Analysis - TMA4230
TMA4230 - Functional Analysis
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Letters
Evaluation | Weighting | Duration | Grade deviation | Examination aids |
---|---|---|---|---|
Muntlig | 100/100 |
Course content
The Hahn-Banach theorem, the open mapping and closed graph theorems, the Banach-Steinhaus theorem, dual spaces, weak convergence, the Banach-Alaoglu theorem, and the spectral theorem for bounded self-adjoint operators.
Learning outcome
1. Knowledge. The student has knowledge of central concepts from functional analysis, including the Hahn-Banach theorem, the open mapping and closed graph theorems, the Banach-Steinhaus theorem, dual spaces, weak convergence, the Banach-Alaoglu theorem, and the spectral theorem for bounded self-adjoint operators.
2. Skills. The student is able to apply his or her knowledge of functional analysis to solve mathematical problems.
Learning methods and activities
Lectures, exercises and an oral final examination. The lectures will be given in English if they are attended by students from the Master's Programme in Mathematics for International students.
Recommended previous knowledge
TMA4145 Linear Methods and TMA4225 Foundation of Analysis.
Course materials
To be announced at the beginning of the term.
Credit reductions
Course code | Reduction | From | To |
---|---|---|---|
SIF5054 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: SPRING 2017
Language of instruction: English, Norwegian
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- Mathematics
- Technological subjects
- Franz Luef
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Muntlig 100/100 2017-05-24 09:00
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Room Building Number of candidates - Summer KONT Muntlig 100/100 2017-08-14
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Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"